Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 835, 395, 51 i.e. 1 largest integer that divides all the numbers equally.
GCD of 835, 395, 51 is 1
GCD(835, 395, 51) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 835, 395, 51 is 1
GCD(835, 395, 51) = 1
Given Input numbers are 835, 395, 51
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Greatest Common Divisior
We found the divisors of 835, 395, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 395, 51 is 1.
Therefore, GCD of numbers 835, 395, 51 is 1
Given Input Data is 835, 395, 51
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 835 is 5 x 167
Prime Factorization of 395 is 5 x 79
Prime Factorization of 51 is 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(835, 395) = 65965
GCD(835, 395) = ( 835 x 395 ) / 65965
GCD(835, 395) = 329825 / 65965
GCD(835, 395) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 51) = 255
GCD(5, 51) = ( 5 x 51 ) / 255
GCD(5, 51) = 255 / 255
GCD(5, 51) = 1
GCD of 835, 395, 51 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 835, 395, 51?
GCD of 835, 395, 51 is 1
2. Where do I get the detailed procedure to find GCD of 835, 395, 51?
You can find a detailed procedure to find GCD of 835, 395, 51 on our page.
3. How to find GCD of 835, 395, 51 on a calculator?
You can find the GCD of 835, 395, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.